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Robust Synchronisation of Heterogeneous Networks Via Integral Quadratic Constraints

Khong, Sei Zhen LU and Lovisari, Enrico LU (2014) 22nd Mediterranean Conference on Control and Automation
Abstract
A general framework for the study of robust synchronisation in large-scale networks is provided. Agents are represented as a common nominal linear time-invariant (LTI) single-input-single-output (SISO) system with simple poles on the imaginary axis, subject to LTI SISO stable multiplicative perturbations. The agents exchange information in order to achieve output-synchronisation, namely steer their outputs to the same, possibly time-varying, signal. Such an information exchange is modeled through a sparse dynamical operator that maps the outputs of the agents into their inputs. The theory of integral quadratic constraints is used to capture the structural uncertainties of the perturbations, and to give certificates for robust... (More)
A general framework for the study of robust synchronisation in large-scale networks is provided. Agents are represented as a common nominal linear time-invariant (LTI) single-input-single-output (SISO) system with simple poles on the imaginary axis, subject to LTI SISO stable multiplicative perturbations. The agents exchange information in order to achieve output-synchronisation, namely steer their outputs to the same, possibly time-varying, signal. Such an information exchange is modeled through a sparse dynamical operator that maps the outputs of the agents into their inputs. The theory of integral quadratic constraints is used to capture the structural uncertainties of the perturbations, and to give certificates for robust synchronisation of the systems. Since the IQC theory is nominally applied to open-loop stable systems, the main idea is to introduce a new space of signals with respect to which the notion of feedback stability implies that of synchronisation under appropriate assumptions on the interconnection operator. The proposed criterion unifies and extends several results in the literature. (Less)
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Contribution to conference
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conference name
22nd Mediterranean Conference on Control and Automation
external identifiers
  • scopus:84916897091
language
English
LU publication?
yes
id
7828bdbe-42c3-4bca-90d1-3724a641966d (old id 4739158)
date added to LUP
2014-11-09 18:14:23
date last changed
2017-01-01 08:11:51
@misc{7828bdbe-42c3-4bca-90d1-3724a641966d,
  abstract     = {A general framework for the study of robust synchronisation in large-scale networks is provided. Agents are represented as a common nominal linear time-invariant (LTI) single-input-single-output (SISO) system with simple poles on the imaginary axis, subject to LTI SISO stable multiplicative perturbations. The agents exchange information in order to achieve output-synchronisation, namely steer their outputs to the same, possibly time-varying, signal. Such an information exchange is modeled through a sparse dynamical operator that maps the outputs of the agents into their inputs. The theory of integral quadratic constraints is used to capture the structural uncertainties of the perturbations, and to give certificates for robust synchronisation of the systems. Since the IQC theory is nominally applied to open-loop stable systems, the main idea is to introduce a new space of signals with respect to which the notion of feedback stability implies that of synchronisation under appropriate assumptions on the interconnection operator. The proposed criterion unifies and extends several results in the literature.},
  author       = {Khong, Sei Zhen and Lovisari, Enrico},
  language     = {eng},
  title        = {Robust Synchronisation of Heterogeneous Networks Via Integral Quadratic Constraints},
  year         = {2014},
}